李建平,丑纪范. 1998. 湿大气方程组解的渐近性质[J]. 气象学报, 56(2):187-198, doi:10.11676/qxxb1998.018
湿大气方程组解的渐近性质
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE MOIST ATMOSPHERIC EQUATIONS
投稿时间:1996-06-27  修订日期:1997-01-15
DOI:10.11676/qxxb1998.018
中文关键词:  湿大气方程组  算子方程  全局吸引子  非绝热加热  渐近行为
英文关键词:Moist atmospheric equations  Operator equation  Global attractor  Diabatic heating  Asymptotic behavior
基金项目:国家基础性研究重大关键项目“气候动力学和气候预测理论的研究”
作者单位
李建平 兰州大学大气科学系, 兰州, 730000 
丑纪范 兰州大学大气科学系, 兰州, 730000 
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中文摘要:
      研究无穷维Hilbert空间中,湿大气运动系统解的长期行为,在导得了湿大气运动方程是Hilbert空间中一个非常特殊的算子方程之后,利用算子的性质讨论了全局吸收集和全局吸引子的存在性,揭示出系统解的渐近行为表现在吸引子的结构上及系统向非绝热加热的非线性适应过程。最后指出了几个简化方程组与原方程组在解的长期行为上的根本不同,从而给出长期天气或气候研究中简化方程组必须遵循的原则。
英文摘要:
      The asymptotic behavior of solutions of the moist at mospheric equatins is studied in the infinite dimensional Hilbert space. After deduced that the moist at mospheric equations in Hilbert space is a very special operat or equation, the existence theorems of the gloalabsorbing set and the global at tractor are obtained by use of the properties of operators, and the property that the asy mptotic behavior of solutions show sitself on the structure of at tract or and the nonlinear adjustment to the diabatic heating are revealed. Then the essential differences between so mesimplified equations and the primitive equations are pointed out, and the reduced principle of at mospheric equations that must be complied with in the studies of long -range weather and climate are given.
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